One angle of a triangle is three times as large as another. The measure of the third angle is 65 more than the smallest angle. What are the measures of each angle

Answer: the angles of the triangle are 23 degrees, 69 degrees and 88 degrees.

Step-by-step explanation:

Let x represent the measure of the smallest triangle.

One angle of the triangle is three times as large as another. It means that the size of the larger angle is 3x.

The measure of the third angle is 65 more than the smallest angle. This means that the measure of the third angle is

x + 65

The sum of the angles in a triangle is 180 degrees. It means that

x + 3x + x + 65 = 180

5x + 65 = 180

5x = 180 - 65

5x = 115

x = 115/5

x = 23 degrees

The larger angle is

3 * 23 = 69 degrees

The third angle is

23 + 65 = 88 degrees